{"as_of":"2026-08-22T13:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:abaa55f8f5bb6c420743df51aff00f16f8fbc0ae5a1e09736ba268fdbef2cd51","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T21:03:17.889056Z","state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T18:58:15.922106Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.09750","snapshot_observed_at":"2026-08-04T18:58:15.922106Z","title":"Large values of character sums with multiplicative coefficients , preprint, arXiv:2508.09750","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.09649","last_updated":"2025-09-11T17:41:13Z","snapshot_observed_at":"2026-08-13T18:45:36.662720Z","submitted_at":"2025-09-11T17:41:13Z","title":"Large character sums with multiplicative coefficients","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-04T18:58:15.922106Z"},"links":{"cited_paper":"/paper/2508.09750","citing_paper":"/paper/2509.09649"},"observation_digest":"sha256:5938c6a76321e2301a8fa9318f9f0998bb42932cc54abe77ea52fdd82155b2e0","observation_id":"eb685db5-6b4c-433a-ba2c-96beeca096bc","resolution":{"observed_at":"2026-08-04T18:58:15.922106Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2508.09750/citation-record","integrity":"/paper/2508.09750/integrity","json":"/paper/2508.09750/citation-record.json","paper":"/paper/2508.09750"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.966025Z","title":"(French) [G´ al-type sums and applications], Proc","venue":null,"work_id":"5b09a402-feff-4f16-b429-bbfcce5ae473","year":2019},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.869231Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:c250e228ad40866427d40b6ed1053d7cd09c5daee63a3ff61efc4909504fac9a","observation_id":"605c251c-4208-4988-9bf4-e9c536f0837c","resolution":{"observed_at":"2026-08-05T21:03:17.968491Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.958230Z","title":"Large character sums, J","venue":null,"work_id":"5ef767fc-9e4e-4f34-8178-eb825784befd","year":2001},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.872219Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:abb0532a22bfce6f96dcc8815a56d0cc420eec06cb17f272db106d2babfbf7cb","observation_id":"5b8e6a92-dd07-4cb5-883a-07c9e62c4542","resolution":{"observed_at":"2026-08-05T21:03:17.960878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.04390","last_updated":"2023-01-11T10:28:14Z","snapshot_observed_at":"2026-08-16T16:03:09.360740Z","submitted_at":"2023-01-11T10:28:14Z","title":"The typical size of character and zeta sums is $o(\\sqrt{x})$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.04390","snapshot_observed_at":"2026-08-05T21:03:17.874792Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.874792Z"},"links":{"cited_paper":"/paper/2301.04390","citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:12fbbb22d1c7b00bc95e0936017d34b4baf7c7212847a30033aafc3781d40237","observation_id":"4900ec7a-bbc3-4514-90b6-fdaa0f3c6b2b","resolution":{"observed_at":"2026-08-05T21:03:17.874792Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.950025Z","title":"An arithmetical mapping and applications to results for the Riemann zeta function, Acta Arith., ��� (2009), 341–367","venue":null,"work_id":"1e7428f5-edd9-4721-828c-a9fc8153b118","year":2009},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.877587Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:278e27900b22408ea4d3dead68f0a18deb12dfbe4a6d05e59f7a5a4caeb7c883","observation_id":"48a26547-9a2e-4af4-bef8-4489d28f3a7e","resolution":{"observed_at":"2026-08-05T21:03:17.952769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.942307Z","title":"T he resonance method for large character sums, Mathematika, �� ,(2013), 87–118","venue":null,"work_id":"c83f3c3e-7cf6-4e0d-bb3f-d899a7cd0b3b","year":2013},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.880330Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:0135a89e006075cd6019ec8d505cdfea1baf7b71aae6f15c09cc2a069194b68c","observation_id":"22bbaa8a-428c-4794-86d8-ca0d81f704c3","resolution":{"observed_at":"2026-08-05T21:03:17.945046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.934194Z","title":"T he maximum size of short character sums, Ramanujan J","venue":null,"work_id":"9b60b977-4189-49b4-8c02-8cae8068c904","year":2020},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.883742Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:b7317ae2a24a44197caab11f5dc2309bea503bb312a2c82ab449b1e5fef85b74","observation_id":"329415a6-118a-48e5-b988-ad76685f4c74","resolution":{"observed_at":"2026-08-05T21:03:17.937045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.926466Z","title":"E xtreme values of zeta and L-functions, Math","venue":null,"work_id":"1edd0812-c81d-44d5-b089-693076ad8baa","year":2008},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.886382Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:a7a739720e1bf2f1ba32ea4d3e4d8c94b1f21b49b0b7366673bc85e5ec4a3edb","observation_id":"7a032b98-f846-4a28-9fd6-80cc5491c682","resolution":{"observed_at":"2026-08-05T21:03:17.929059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T21:03:17.916474Z","title":"E xtreme values of Dirichlet polynomials with multiplicative coefficients, J","venue":null,"work_id":"2bb888c1-6f26-4ff2-be22-cfa6099f55f7","year":2024},"citing_paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T21:03:17.889056Z"},"links":{"citing_paper":"/paper/2508.09750"},"observation_digest":"sha256:504e9b96dfc78792a84b92d7584a61b6a6e60a803f0a830ba6377c36245620df","observation_id":"ef623e8e-5b6a-4b21-9f63-ca4ca285d61b","resolution":{"observed_at":"2026-08-05T21:03:17.920990Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.09750","last_updated":"2025-08-13T12:25:01Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-14T04:32:39.575424Z","submitted_at":"2025-08-13T12:25:01Z","title":"Large values of character sums with multiplicative coefficients"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":8},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2508.09750."}